Vague集的Fuzzy集分解  

The Decomposition of Fuzzy Sets for Vague Sets

作　　者：彭祖明[1] 

机构地区：[1]长江师范学院数学与计算机学院,重庆涪陵408100

出　　处：《西南大学学报（自然科学版）》2012年第4期118-122,共5页Journal of Southwest University(Natural Science Edition)

摘　　要：Vague集作为Fuzzy集的扩展,将其分解成Fuzzy集是一个值得探讨的问题.定义了Vague集的Fuzzy截集和数与Vague集的运算,在探讨了相应性质的基础上,给出了Vague集的Fuzzy集分解定理并进行了证明.problem number of fuzzy As vague sets are extension of fuzzy sets, the decomposition of a vague set into fuzzy sets is a worth exploring. In this paper, a new fuzzy cut-set of vague sets and an arithmetic about the of vague sets are defined and, based on a discussion of their properties, the decomposition theorem sets of vague sets is given and proved.

关 键 词：VAGUE集 FUZZY集 截集 分解定理 

分 类 号：O189.13[理学—数学]